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209401472 = 2771032269
BaseRepresentation
bin11000111101100…
…11011010000000
3112121000200211002
430132303122000
5412101321342
632440111132
75121611630
oct1436633200
9477020732
10209401472
11a8224475
125a1654a8
13344c95c7
141db4c6c0
15135b4d32
hexc7b3680

209401472 has 64 divisors (see below), whose sum is σ = 481603200. Its totient is φ = 88833024.

The previous prime is 209401457. The next prime is 209401483. The reversal of 209401472 is 274104902.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91154 + ... + 93422.

It is an arithmetic number, because the mean of its divisors is an integer number (7525050).

Almost surely, 2209401472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240801600).

209401472 is an abundant number, since it is smaller than the sum of its proper divisors (272201728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

209401472 is a wasteful number, since it uses less digits than its factorization.

209401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 209401472 is about 14470.7108325749. The cubic root of 209401472 is about 593.8269589331.

The spelling of 209401472 in words is "two hundred nine million, four hundred one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 412 448 721 824 896 1442 1648 2269 2884 3296 4538 5768 6592 9076 11536 13184 15883 18152 23072 31766 36304 46144 63532 72608 92288 127064 145216 233707 254128 290432 467414 508256 934828 1016512 1635949 1869656 2033024 3271898 3739312 6543796 7478624 13087592 14957248 26175184 29914496 52350368 104700736 209401472